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Finding the Third Proportional to 76,609 and 116,535

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Solution

The third proportional to 76,609 and 116,535 is: 177,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,609 : 116,535 = 116,535 : x
  2. Step 2: Convert to fraction form
    76,609/116,535 = 116,535/x
  3. Step 3: Cross multiply
    76,609x = 116,535 × 116,535
  4. Step 4: Simplify right side
    76,609x = 13,580,406,225
  5. Step 5: Solve for x
    x = 13,580,406,225/76,609
  6. Step 6: Final answer
    x = 177,269.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.